Lectures on the Mechanical Foundations of Thermodynamics PDF Download
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Author: Michele Campisi
Publisher: Springer Nature
ISBN: 3030871630
Category : Science
Languages : en
Pages : 99
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Book Description
This brief provides a modern pedagogical exposition of the mechanical approach to statistical mechanics initiated by Boltzmann with his early works (1866-1871). Despite the later contribution by Helmholtz, Boltzmann himself (1884-1887), Gibbs, P. Hertz, and Einstein, the mechanical approach remained almost unknown to the modern reader, in favour of the celebrated combinatorial approach, developed by Boltzmann himself during his probabilistic turn (1876-1884). The brief constitutes an ideal continuation of a graduate course of classical mechanics and requires knowledge of basic calculus in many dimension (including differential forms), thermodynamics, probability theory, besides Hamiltonian mechanics. The cornerstone of the whole presentation is the ergodic hypothesis. Special attention is devoted to Massieu potentials (the Legendre transforms of the entropy) which are most natural in statistical mechanics, and also allow for a more direct treatment of the topic of ensemble equivalence.
Author: Michele Campisi
Publisher: Springer Nature
ISBN: 3030871630
Category : Science
Languages : en
Pages : 99
Get Book Here
Book Description
This brief provides a modern pedagogical exposition of the mechanical approach to statistical mechanics initiated by Boltzmann with his early works (1866-1871). Despite the later contribution by Helmholtz, Boltzmann himself (1884-1887), Gibbs, P. Hertz, and Einstein, the mechanical approach remained almost unknown to the modern reader, in favour of the celebrated combinatorial approach, developed by Boltzmann himself during his probabilistic turn (1876-1884). The brief constitutes an ideal continuation of a graduate course of classical mechanics and requires knowledge of basic calculus in many dimension (including differential forms), thermodynamics, probability theory, besides Hamiltonian mechanics. The cornerstone of the whole presentation is the ergodic hypothesis. Special attention is devoted to Massieu potentials (the Legendre transforms of the entropy) which are most natural in statistical mechanics, and also allow for a more direct treatment of the topic of ensemble equivalence.
Author: W. Noll
Publisher: Springer Science & Business Media
ISBN: 3642658172
Category : Science
Languages : en
Pages : 330
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Book Description
German scholars, against odds now not only forgotten but also hard to imagine, were striving to revivify the life of the mind which the mental and physical barbarity preached and practised by the -isms and -acies of 1933-1946 had all but eradicated. Thinking that among the disciples of these elders, restorers rather than progressives, I might find a student or two who would wish to master new mathematics but grasp it and use it with the wholeness of earlier times, in 1952 I wrote to Mr. HAMEL, one of the few then remaining mathematicians from the classical mould, to ask him to name some young men fit to study for the doc torate in The Graduate Institute for Applied Mathematics at Indiana University, flourishing at that time though soon to be destroyed by the jealous ambition of the local, stereotyped pure. Having just retired from the Technische Universitat in Charlottenburg, he passed my inquiry on to Mr. SZABO, in whose institute there NOLL was then an assistant. Although Mr.
Author: Elias P. Gyftopoulos
Publisher: Courier Corporation
ISBN: 0486135187
Category : Science
Languages : en
Pages : 802
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Book Description
Designed by two MIT professors, this authoritative text discusses basic concepts and applications in detail, emphasizing generality, definitions, and logical consistency. More than 300 solved problems cover realistic energy systems and processes.
Author: Joseph Ellis Trevor
Publisher:
ISBN:
Category : Thermodynamics
Languages : en
Pages : 130
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Book Description
Author: H. A. Buchdahl
Publisher: Elsevier
ISBN: 1483150445
Category : Science
Languages : en
Pages : 115
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Book Description
Twenty Lectures on Thermodynamics is a course of lectures, parts of which the author has given various times over the last few years. The book gives the readers a bird's eye view of phenomenological and statistical thermodynamics. The book covers many areas in thermodynamics such as states and transition; adiabatic isolation; irreversibility; the first, second, third and Zeroth laws of thermodynamics; entropy and entropy law; the idea of the application of thermodynamics; pseudo-states; the quantum-static al canonical and grand canonical ensembles; and semi-classical gaseous systems. The text is recommended for physics students who are in need of a basic yet effective knowledge in the foundations of thermodynamics, as the book explains its many concepts in such an elementary and pedagogic manner, giving the readers a greater understanding of the core of the subject.
Author: Paul Ehrenfest
Publisher: Courier Corporation
ISBN: 0486163148
Category : Science
Languages : en
Pages : 128
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Book Description
Classic 1912 article reformulated the foundations of the statistical approach in mechanics. Largely still valid, the treatment covers older formulation of statistico-mechanical investigations, modern formulation of kineto-statistics of the gas model, and more. 1959 edition.
Author: H.C. Van Ness
Publisher: Courier Corporation
ISBN: 0486132285
Category : Science
Languages : en
Pages : 129
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Book Description
Clear treatment of systems and first and second laws of thermodynamics features informal language, vivid and lively examples, and fresh perspectives. Excellent supplement for undergraduate science or engineering class.
Author: John W. Daily
Publisher: Cambridge University Press
ISBN: 1108415318
Category : Mathematics
Languages : en
Pages : 285
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Book Description
Clearly connects macroscopic and microscopic thermodynamics and explains non-equilibrium behavior in kinetic theory and chemical kinetics.
Author: Ludwig Boltzmann
Publisher: Courier Corporation
ISBN: 0486152332
Category : Science
Languages : en
Pages : 507
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Book Description
A masterpiece of theoretical physics, this classic contains a comprehensive exposition of the kinetic theory of gases. It combines rigorous mathematic analysis with a pragmatic treatment of physical and chemical applications.
Author: Robert H. Swendsen
Publisher: Oxford University Press
ISBN: 0199646945
Category : Mathematics
Languages : en
Pages : 422
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Book Description
This text presents statistical mechanics and thermodynamics as a theoretically integrated field of study. It stresses deep coverage of fundamentals, providing a natural foundation for advanced topics. The large problem sets (with solutions for teachers) include many computational problems to advance student understanding.
